Probability of numbers between 0 and 1

In summary, probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It can be calculated by dividing the number of desired outcomes by the total number of possible outcomes. The probability of a number between 0 and 1 cannot be greater than 1 or negative, as it represents impossibility and certainty, respectively. There is a difference between theoretical and experimental probability, with the former being based on calculations and the latter on actual data. Probability can only range from 0 to 1.
  • #1
deah
4
0
anybody could help me how to solve this..
between nos. 0 and 1, what is the probability that 5 of its first 10 decimal places is less than 5?
 
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  • #2
How would you first approach this problem yourself?
 
  • #3
A.What is the probability that any given digit is less than 5?

B.What is the probability of 5 out of 10 digits being less than 5, using the probability in A?
 
  • #4
In other words, it is a binomial probability problem!
 
  • #5
Exactly five or at least five?
 
  • #6
sorry..

it's at least five..
 

1. What is the definition of probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty.

2. How do you calculate the probability of a number between 0 and 1?

The probability of a number between 0 and 1 can be calculated by dividing the number of desired outcomes by the total number of possible outcomes. This is known as the classical probability formula: P(A) = n(A) / n(S), where P(A) is the probability of event A, n(A) is the number of desired outcomes, and n(S) is the total number of possible outcomes.

3. Can the probability of a number between 0 and 1 be greater than 1?

No, the probability of a number between 0 and 1 cannot be greater than 1. This would represent a certainty of more than 100%, which is impossible. The highest probability a number can have is 1, representing a 100% chance of occurrence.

4. What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumptions, while experimental probability is based on actual data and observations. Theoretical probability often represents an idealized situation, whereas experimental probability reflects real-world outcomes.

5. Can the probability of a number between 0 and 1 be negative?

No, the probability of a number between 0 and 1 cannot be negative. This would represent a negative chance of occurrence, which is impossible. Probability can only range from 0 to 1.

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